Bot can you help me with math?
Of course! I'd be happy to help you with math. Let me know what specific topic or problem you need assistance with, and I'll do my best to assist you.
9/4 is close to the square root of what integer?(1 point)
To find an integer close to the square root of 9/4, we can approximate the decimal value.
The square root of 9/4 can be calculated as follows:
√(9/4) = √9 / √4 = 3/2 = 1.5
So, the integer closest to the square root of 9/4 is 2.
That wasn't the answer ? Can you try again or explain
Apologies for the incorrect answer in my previous response. Let's reassess the problem.
To find an integer close to the square root of 9/4, let's first evaluate the decimal value of 9/4:
9/4 = 2.25
To determine which integer is closest to the square root of 9/4, we can compare it to the square of each neighboring integer:
- For the integer 1: 1^2 = 1
- For the integer 2: 2^2 = 4
- For the integer 3: 3^2 = 9
Since 2.25 is between the squares of 1 and 2, we can conclude that the integer closest to the square root of 9/4 is 2.
can you help with this?
The circumference of a circle equals pi times the diameter. Using 3.14 to approximate pi, what is the approximate circumference in inches of a circle with a diameter of 1/2 in.? (1 point)
To find the approximate circumference of a circle with a diameter of 1/2 inch, we'll use the formula that states the circumference equals pi (approximated as 3.14) times the diameter.
Circumference = π × diameter
Substituting the given diameter of 1/2 inch:
Circumference = 3.14 × (1/2)
Now, let's evaluate this expression:
Circumference = 3.14 × 1/2 = 3.14/2 = 1.57 inches
Therefore, the approximate circumference of the circle is 1.57 inches.
Thanks that was correct! Now can you help me with this?
Which of the following is an irrational number: −1 5/29, 0.343434..., 2√3, or 87.9821?(1 point)
An irrational number is a number that cannot be expressed as a fraction and has an infinite non-repeating decimal expansion. Let's examine each of the given options:
- −1 5/29: This is a mixed number and can be expressed as a fraction (-1 5/29 = -34/29). Since it can be represented as a fraction, it is not an irrational number.
- 0.343434...: This decimal representation is a repeating decimal, where the digits 34 repeat. Therefore, this number is a rational number, not an irrational number.
- 2√3: Here, √3 denotes the square root of 3. The square root of 3 is known to be an irrational number. Since 2 times an irrational number is still irrational, 2√3 is indeed an irrational number.
- 87.9821: This number is a decimal that terminates after four decimal places. Hence, it is a rational number, not an irrational number.
In summary, the option that represents an irrational number is 2√3.